Majority score voting: Difference between revisions
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== Criteria compliance == |
== Criteria compliance == |
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Majority score passes the [[favorite betrayal criterion]], the [[majority criterion]] |
Majority score passes the [[favorite betrayal criterion]], the [[majority criterion]], [[Independence of irrelevant alternatives]], [[Local independence of irrelevant alternatives]] (under the assumption of fixed "honest" ratings for each voter for each candidate), [[Independence of clone alternatives]], [[Monotonicity]], (polytime) [[resolvability]], O(N) [[summability]], and [[later no help]]. |
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There are a few criteria that it does not pass as such, but passes related but weaker criteria. These include: |
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* It fails the [[mutual majority criterion]], but passes if the mutual majority in question unanimously rejects all candidates outside their mutually-preferred set. It also passes if the number who give the strongest candidate in the set a rating below "support" is less than three times the amount by which the overall group exceeds 50%. |
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* It fails the [[Condorcet criterion]], but for any set of voters such that an honest majority Condorcet winner exists, there always exists a strong equilibrium set of strictly semi-honest majority score ballots that elects that CW. |
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* It fails the [[participation criterion]] but passes the [[semi-honest participation criterion]]. |
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It fails the [[consistency criterion]], the [[Condorcet loser criterion]], the [[majority loser criterion]], and the [[later no-harm criterion]]. |
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== An example == |
== An example == |